Some examples of temporal–fractional multidimensional diffusion equations

The work consists of the fractional analysis of a multidimensional diffusion equation using a coupled technique named the Aboodh transform iterative method (ATIM). The coupled technique takes very little computational time, is easy to implement and provides accurate solutions. Three numerical simulations for distinct dimensions of diffusion equations are considered to show the efficacy and accuracy of the considered approach.

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Publication Details

Journal
Examples and Counterexamples
Published
2026-02-24
DOI
https://doi.org/10.1016/j.exco.2026.100217
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Some examples of temporal–fractional multidimensional diffusion equations

Akshey, Twinkle R. Singh
Examples and Counterexamples
Fractional Differential Equations Solutions
article

Some examples of temporal–fractional multidimensional diffusion equations

Akshey, Twinkle R. Singh
article en

Abstract

The work consists of the fractional analysis of a multidimensional diffusion equation using a coupled technique named the Aboodh transform iterative method (ATIM). The coupled technique takes very little computational time, is easy to implement and provides accurate solutions. Three numerical simulations for distinct dimensions of diffusion equations are considered to show the efficacy and accuracy of the considered approach.

Examples and CounterexamplesVol. 9
Sardar Vallabhbhai National Institute of Technology Surat (IN)
Openalex Percentile: Top 49%
Fractional Differential Equations Solutions
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